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Finding the Third Proportional to 7,903,154 and 11,917,011

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Solution

The third proportional to 7,903,154 and 11,917,011 is: 17,969,427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903,154 : 11,917,011 = 11,917,011 : x
  2. Step 2: Convert to fraction form
    7,903,154/11,917,011 = 11,917,011/x
  3. Step 3: Cross multiply
    7,903,154x = 11,917,011 × 11,917,011
  4. Step 4: Simplify right side
    7,903,154x = 142,015,151,174,121
  5. Step 5: Solve for x
    x = 142,015,151,174,121/7,903,154
  6. Step 6: Final answer
    x = 17,969,427.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.